Mathematical Genealogy of Pramod N. Achar
Ph.D., Universit¨at Leipzig, 1665–66 Otto Mencke Ex Theologia naturali—De Absoluta Dei Simplicitate, Micropolitiam, id est Rempubli- cam In Microcosmo Conspicuam
Ph.D., Universit¨at Leipzig, 1685 Johann Wichmannshausen Disputationem Moralem De Divortiis Secundum Jus Naturae
Dr. Phil., Martin-Luther-Universit¨atHalle-Wittenberg, 1713 Christian Hausen De corpore scissuris figurisque non cruetando ductu
Ph.D., Universit¨at Leipzig, 1739 Abraham K¨astner Theoria radicum in aequationibus
Georg Lichtenberg Dr. Phil., Georg-August-Universit¨atG¨ottingen, 1765 Unknown
Dr. Phil., Georg-August-Universit¨atG¨ottingen, 1786 Johann Pfaff Commentatio de ortibus et occasibus siderum apud auctores classicos commemoratis
Ph.D., Universit¨at Helmstedt, 1799 Carl Gauß Demonstratio nova theorematis omnem functionem algebraicam rationalem integram unius variabilis in factores reales primi vel secundi gradus resolvi posse
Dr. Phil., Georg-August-Universit¨atG¨ottingen, 1800 Heinrich Brandes Unknown
Dr. Phil., Georg-August-Universit¨atG¨ottingen, 1810 Friedrich Bessel Unknown
Ph.D., Universit¨at Berlin, 1823 Heinrich Scherk De evolvenda functione . . . disquisitiones nonnullae analyticae
Ph.D., Martin-Luther-Universit¨atHalle-Wittenberg, 1831 Ernst Kummer De cosinuum et sinuum potestatibus secundum cosinus et sinus arcuum multiplicium evolvendis
Christoph Gudermann Ph.D., Georg-August-Universit¨atG¨ottingen, 1841 Uber¨ die Entwicklung der Modularfunctionen
Ph.D., Universit¨at K¨onigsberg, 1854 Karl Weierstraß Unknown
Ph.D., Universit¨at Berlin, 1864 Hermann Schwartz De superficiebus in planum explicabilibus primorum septem ordinum
Leopold Fej´er Ph.D., E¨otv¨osLor´andUniversity, 1902 Unknown
Ph.D., E¨otv¨osLor´andUniversity, 1912 Marcel Riesz Unknown
Ph.D., Stockholm University, 1918 C. Einar Hille Some Problems Concerning Spherical Harmonics
Ph.D., Yale University, 1940 Irving Segal Ring Properties of Certain Classes of Functions
Ph.D., University of Chicago, 1954 Bertram Kostant Representations of a Lie Algebra and its Enveloping Algebra on Hilbert Space
Ph.D., Massachusetts Institute of Technology, 1976 David Vogan Lie Algebra Cohomology and the Representations of Semisimple Lie Groups
Ph.D., Massachusetts Institute of Technology, 2001 Pramod Achar Equivariant Coherent Sheaves on the Nilpotent Cone for Complex Reductive Lie Groups